39979648051200 has 3456 divisors, whose sum is σ = 177699926476800. Its totient is φ = 8729690112000.

The previous prime is 39979648051169. The next prime is 39979648051229. The reversal of 39979648051200 is 215084697993.

39979648051200 is a `hidden beast` number, since 3 + 9 + 9 + 79 + 6 + 48 + 0 + 512 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 120784435035 + ... + 120784435365.

It is an arithmetic number, because the mean of its divisors is an integer number (51417802800).

It is a 1-persistent number, because it is pandigital, but 2⋅39979648051200 = 79959296102400 is not.

Almost surely, 2^{39979648051200} is an apocalyptic number.

39979648051200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39979648051200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88849963238400).

39979648051200 is an abundant number, since it is smaller than the sum of its proper divisors (137720278425600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

39979648051200 is a wasteful number, since it uses less digits than its factorization.

39979648051200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 39979648051200 in words is "thirty-nine trillion, nine hundred seventy-nine billion, six hundred forty-eight million, fifty-one thousand, two hundred".